In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Correct answer: B. 720
- A. 120
- B. 720
- C. 4320
- D. 2160
Explanation
Treat the three vowels O, I and A as one block, giving 5 objects to arrange, which can be done in 5! ways. The vowels can also be arranged within their block in 3! ways, so 5! x 3! = 120 x 6 = 720; 120 ignores the internal vowel arrangements.
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